FiiNote is the most convenient note app for android.
It is designed for both Phone and Tablet.

Feature list:
1, Unique hybrid model for combined handwriting and keyboard.
2, Text,paint,voice,photo,video...Note everything.
3, Calender,alarm,todo...Getting things done.
4, Infinite canvas, text box, DIY templates, real pen style...Too many incredible functions inside.
5, Organized by books, tags, bookmarks, calendar. Archive and trash box are also supported.
6, Less permission is required.


You can use FiiNote offline, or link it to the cloud and synchronize data with your computer. FiiNote for Windows is ready now!
https://www.fiinote.com


New feature:

Make note without unlocking
menu - settings - show notification

Related: Show notification on the locked screen
https://support.google.com/nexus/answer/6111294